Simplifying
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b
The rate of change is the slope so it would be
rise/run
Answer:
Step-by-step explanation:
what data
Given expression: 1/4 (16-12x).
Solution: We can see that 1/4 is in front of paranthesis.
That represents multiplication of 1/4 with (16-12x)
In order to 1/4 with (16-12x), we need to distribute 1/4 over (16-12x).
On distributing 1/4 over (16-12x), we get
1/4 (16-2x) = 1/4 * 16 + 1/4 * (-12x).
On multiplying 1/4*16, we get 16/4 and 1/4 * (-12x) = -12x/4.
16/4 could be simplify to 4 and -12x/4 could be simplify to -3x.
So, final answer would be 4 - 3x.
Therefore, second option is our correct option, that is 4 - 3x.
